Distances on Lie groups of polynomial volume growth
โ Scribed by Nourredine Bounechada
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- French
- Weight
- 175 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0025-5874
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๐ SIMILAR VOLUMES
Let G be a Lie group of polynomial growth. We prove that the second-order Riesz transforms on L 2 (G ; dg) are bounded if, and only if, the group is a direct product of a compact group and a nilpotent group, in which case the transforms of all orders are bounded.
## Abstract We introduce a LittlewoodโPaley decomposition related to any subโLaplacian on a Lie group __G__ of polynomial volume growth; this allows us to prove a LittlewoodโPaley theorem in this general setting and to provide a dyadic characterization of Besov spaces __B__ ^__s,q__^ ~__p__~ (__G_
We give the Bernstein polynomials for basic matrix entries of irreducible unitary ลฝ . representations of compact Lie group SU 2 . We also give an application to the ลฝ . analytic continuation of certain distributions on SU 2 , and finally we briefly describe the Bernstein polynomial for B = B-semi-in